Labels:text | sketch | black and white | black | art | monochrome OCR: Figure 12-12: Illustration of the Range of the Arc Tangent Function All I can say is that this peacock is a horse of another color. At first glance, the axey seem to map in the same way as for asin and acos, but look again: this lime it's the imaginary axis doing weird things. All infinities map multiply to the points (2k + 1)w /2; within the atrip of principal values we may say that the real axis is mapped to the interval [-w/2, +w/2] and therefore -o is mapped to -w/2 and +00 to +x/2. The point +i is mapped to +oos, and -i to -oof, and ao the imaginary axis is mapped into three pieces: the segment [-sos, - $] is mapped to [w /2, x/2 - 5ot]; the segment [-s, {] is mapped to the imaginary axia [-50%, +5]; and the segment [+%, +oos] is mapped to [-x/2+ 00i, - w/2].
